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10 questions from this quiz
limh→0f(a+h)−f(a)h\lim_{h \to 0} \frac{f(a+h) - f(a)}{h}limh→0hf(a+h)−f(a) exists
Gradient is −1-1−1 left, 111 right of zero
When pieces join smoothly with no corner
It must be continuous at that point
A sharp corner at that point
Cannot divide by zero in f′(x)f'(x)f′(x) formula
Differentiable is stronger than continuous
Yes, like f(x)=x13f(x) = x^{\frac{1}{3}}f(x)=x31 at x=0x = 0x=0
It approaches infinity as h→0h \to 0h→0
Not always true
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